Skip to main content

Muckenhoupt’s weights in some boundary problems of a complex variable

Part of the Lecture Notes in Mathematics book series (LNM,volume 908)

Keywords

  • Weight Norm Inequality
  • Gevrey Class
  • Complementary Interval
  • Free Interpolation
  • Single Limit Point

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Alexander, B.A. Taylor and D.L. Williams, The interpolating sets for A(D), J. Math. Anal. Appl. 36(1971), 556–566.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. Bruna, Boundary interpolation sets for holomorphic functions smooth up to the boundary and BMO, Trans. Amer. Math. Soc. 262,2(1981), 393–409.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. Bruna, On the peak sets for holomorphic Lipschitz functions, reprint, Universitat Autònoma de Barcelona.

    Google Scholar 

  4. L. Carleson, Sets of uniqueness for functions regular in the unit circle, Acta Math. 87(1952), 325–345.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. E.M. Dynkin, Free interpolation sets for Holder classes, Math. USSR Sbornik, 37(1980), 1, 97–117.

    CrossRef  Google Scholar 

  6. E.M. Dynkin and S.V. Hruscev, Interpolation by boundary values of smooth analytic functions, Soviet Math. Dokl 15 (1974), 1083–1086.

    MathSciNet  Google Scholar 

  7. S.V. Hruscev, Sets of uniqueness for the Gevrey class, Ark. Math. 15(1977), 253–304.

    CrossRef  MathSciNet  Google Scholar 

  8. R. Hunt, B. Muckenhoupt, R. Wheeden, Weighted norm inequalities for the conjugate function and the Hilbert transform, Trans. Amer. Math. Soc. 176(1973), 227–251.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. V.S. Korolevitch and E.A. Pogorely, Sur les zéros des fonctions analytiques appartenant a des classes de Gevrey, Mat. Zametki 7 (1974), 149–162.

    Google Scholar 

  10. W.P. Novinger and D.N. Oberlin, Peak sets for Lipschitz functions, Proc. Amer. Math. Soc. 68,1(1978), 37–43.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Bruna, J. (1982). Muckenhoupt’s weights in some boundary problems of a complex variable. In: Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093281

Download citation

  • DOI: https://doi.org/10.1007/BFb0093281

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11188-7

  • Online ISBN: 978-3-540-38973-6

  • eBook Packages: Springer Book Archive